Paper Abstract and Keywords |
Presentation |
2011-06-30 11:05
Partitioning Trees with Supply, Demand and Edge-Capacity Masaki Kawabata, Takao Nishizeki (Kwansei Gakuin Univ.) COMP2011-17 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Let T be a given tree. Each vertex of T is either a supply vertex or a demand vertex, and is assigned a positive number, called the supply or demand. Each demand vertex v must be supplied an amount of ``power," equal to the demand of v, from exactly one supply vertex through edges in T. Each edge is assigned a positive number called the capacity. One wishes to partition T into subtrees by deleting edges from T so that each subtree contains exactly one supply vertex whose supply is no less than the sum of all demands in the subtree and the power flow through each edge is no more than capacity of the edge. The ``partition problem" is a decision problem to ask whether T has such a partition. The ``maximum partition problem" is an optimization version of the partition problem. In this paper, we give three algorithms for the problems. First is a linear-time algorithm for the partition problem. Second is a pseudo-polynomial-time algorithm for the maximum partition problem. Third is a fully polynomial-time approximation scheme (FPTAS) for the maximum partition problem. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
tree / partition problem / maximum partition problem / supply vertex / demand vertex / edge-capacity / algorithm / approximation |
Reference Info. |
IEICE Tech. Rep., vol. 111, no. 113, COMP2011-17, pp. 9-16, June 2011. |
Paper # |
COMP2011-17 |
Date of Issue |
2011-06-23 (COMP) |
ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
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COMP2011-17 |
Conference Information |
Committee |
COMP |
Conference Date |
2011-06-30 - 2011-06-30 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Hiroshima Univ. |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
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Paper Information |
Registration To |
COMP |
Conference Code |
2011-06-COMP |
Language |
English (Japanese title is available) |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Partitioning Trees with Supply, Demand and Edge-Capacity |
Sub Title (in English) |
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tree |
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partition problem |
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maximum partition problem |
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supply vertex |
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demand vertex |
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edge-capacity |
Keyword(7) |
algorithm |
Keyword(8) |
approximation |
1st Author's Name |
Masaki Kawabata |
1st Author's Affiliation |
Kwansei Gakuin University (Kwansei Gakuin Univ.) |
2nd Author's Name |
Takao Nishizeki |
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Kwansei Gakuin University (Kwansei Gakuin Univ.) |
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Speaker |
Author-1 |
Date Time |
2011-06-30 11:05:00 |
Presentation Time |
35 minutes |
Registration for |
COMP |
Paper # |
COMP2011-17 |
Volume (vol) |
vol.111 |
Number (no) |
no.113 |
Page |
pp.9-16 |
#Pages |
8 |
Date of Issue |
2011-06-23 (COMP) |
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